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koban [17]
3 years ago
7

Please help me answer the question in the picture!

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

x = 5 units.

Step-by-step explanation:

In a parallelogram. diagonals bisect each other.

This means $ \overline{CE} = \overline{BE} $.

$ \implies 15 - x = 2x $

$ \implies 15 = 3x$

$ \implies x = 5 $.

Therefore, the length of x = 5 units.

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Answer: Yes, but only if he houses 37, 38, 39, or 40 fish

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==========================================================

Explanation:

The tank is 30 cm by 30 cm by 100 cm. The volume is 30*30*100 = 90,000 cm^3 which is shorthand for "cubic centimeters".

We're told that 1000 cm^3 = 1 liter, which means the 90,000 cm^3 converts to (90,000)/(1000) = 90 liters.

The fish tank is 90 liters.

Since 1 gallon = 4.5 liters, this means the 90 liter tank converts to 90/(4.5) = 20 gallons

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Your teacher mentions "He can keep 2 small fish for every 1 gallon".

Since the tank is 20 gallons, that means he can keep 20*2 = 40 fish. This value is larger than 36, so Matt is correct to a point. If Matt is thinking 37, 38, 39, or 40 fish then he would be correct. If Matt is wanting more than 40 fish, then he'll need a bigger tank.

In short, he can't have any number over 36 and can only have 4 specific values (the four values mentioned earlier).

So technically, Matt is correct, but strong clarification is needed.

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